document.write( "Question 950719: an observer notices that an aeroplane flies directly overhead. two minutes later the aeroplane is at an angle of elevation of 27 degrees . assuming the aeroplane is travelling with constant speed , what will be its angle of elevation after another two minutes . \n" ); document.write( "

Algebra.Com's Answer #580596 by Fombitz(32388) $\"\"$ $\"About$

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Let's call the horizontal distance the plane covers relative to the ground observer in 2 minutes, X.
\n" ); document.write( " $\"tan%2827%29=H%2FX\"$
\n" ); document.write( " $\"H=Xtan%2827%29\"$
\n" ); document.write( "In another two minutes, the distance will increase to $\"2X\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"tan%28theta%29=H%2F2X\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"tan%28theta%29=%28Xtan%2827%29%29%2F%282X%29\"$
\n" ); document.write( " $\"tan%28theta%29=tan%2827%29%2F2\"$
\n" ); document.write( " $\"tan%28theta%29=0.25476\"$
\n" ); document.write( " $\"theta=14.3\"$ $\"degrees\"$ \n" ); document.write( "

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